Finite-size effect of the dyonic giant magnons in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math>super Chern-Simons theory

Ahn, Changrim; Bozhilov, P.

doi:10.1103/physrevd.79.046008

Cited by 17 publications

(20 citation statements)

References 48 publications

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“…The result exactly reproduces (3.6). Among further developments, finite size contributions to dyonic giant magnons were analyzed [27], quantum fluctuations were linked with the F-term [16,28], similar computations were also done for giant magnons and dyonic magnons in the ABJM theory [29][30][31][32][33]. In addition finite size corrections were evaluated for open strings (which corresponds to Lüscher corrections in a boundary integrable field theory [34]) [35,36].…”

Section: Strong Coupling Resultsmentioning

confidence: 99%

Review of AdS/CFT Integrability, Chapter III.5: Lüscher Corrections

Janik

2011

Lett Math Phys

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Abstract. In integrable quantum field theories, the large volume spectrum is given by the Bethe Ansatz. The leading corrections, due to virtual particles circulating around the cylinder, are encoded in so-called Lüscher corrections. In order to apply these techniques to the AdS/CFT correspondence, one has to generalize these corrections to the case of generic dispersion relations and to multiparticle states. We review these various generalizations and the applications of Lüscher's corrections to the study of the worldsheet QFT of the superstring in Ad S 5 × S 5 and, consequently, to anomalous dimensions of operators in N = 4 SYM theory.Mathematics Subject Classification (2010). 81T30, 81T40, 81U15, 81U20.

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Section: Strong Coupling Resultsmentioning

confidence: 99%

Review of AdS/CFT Integrability, Chapter III.5: Lüscher Corrections

Janik

2011

Lett Math Phys

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“…In understanding the string geodesics better, several classes of rigidly rotating and pulsating string solutions in the background of AdS 4 × CP 3 with and without flux has been studied, e.g. in [14][15][16][17][18][19].…”

Section: Contentsmentioning

confidence: 99%

Neumann-Rosochatius system for strings in ABJ model

Chakraborty

Panigrahi

2019

J. High Energ. Phys.

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Neumann-Rosochatius system is a well known one dimensional integrable system. We study the rotating and pulsating string in AdS 4 × CP 3 with a B NS holonomy turned on over CP 1 ⊂ CP 3 , the so called Aharony-Bergman-Jafferis (ABJ) background. We observe that the string equations of motion in both cases are integrable and the Lagrangians reduce to a form similar to that of a deformed Neumann-Rosochatius system. We find out the scaling relations among various conserved charges and comment on the finite size effect for the dyonic giant magnons on R t × CP 3 with two angular momenta. For the pulsating string we derive the energy as function of oscillation number and angular momenta along CP 3 .

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“…Based on the Lüscher µ-term formula for the undeformed case [11], we propose to identify the angle Ψ = Let us point out that (3.15) has the same form as the dispersion relation for dyonic giant magnons on R t × S …”

Section: Expansionsmentioning

confidence: 99%